Ln(2x-3)=ln(11)

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Solution for Ln(2x-3)=ln(11) equation: 


Simplifying
Ln(2x + -3) = ln(11)

Reorder the terms:
nL(-3 + 2x) = ln(11)
(-3 * nL + 2x * nL) = ln(11)
(-3nL + 2nxL) = ln(11)

Reorder the terms for easier multiplication:
-3nL + 2nxL = 11ln

Solving
-3nL + 2nxL = 11ln

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-11ln' to each side of the equation.
-3nL + -11ln + 2nxL = 11ln + -11ln

Reorder the terms:
-11ln + -3nL + 2nxL = 11ln + -11ln

Combine like terms: 11ln + -11ln = 0
-11ln + -3nL + 2nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-11l + -3L + 2xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n = 0

Subproblem 2
Set the factor '(-11l + -3L + 2xL)' equal to zero and attempt to solve:

Simplifying
-11l + -3L + 2xL = 0

Reorder the terms:
-3L + -11l + 2xL = 0

Solving
-3L + -11l + 2xL = 0

Move all terms containing n to the left, all other terms to the right.

Add '3L' to each side of the equation.
-3L + -11l + 3L + 2xL = 0 + 3L

Reorder the terms:
-3L + 3L + -11l + 2xL = 0 + 3L

Combine like terms: -3L + 3L = 0
0 + -11l + 2xL = 0 + 3L
-11l + 2xL = 0 + 3L
Remove the zero:
-11l + 2xL = 3L

Add '11l' to each side of the equation.
-11l + 11l + 2xL = 3L + 11l

Combine like terms: -11l + 11l = 0
0 + 2xL = 3L + 11l
2xL = 3L + 11l

Add '-2xL' to each side of the equation.
2xL + -2xL = 3L + 11l + -2xL

Combine like terms: 2xL + -2xL = 0
0 = 3L + 11l + -2xL

Simplifying
0 = 3L + 11l + -2xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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